The Total solution for NCERT class 6-12
By furthersimplification
= 2 sin 4x cos (–2x) + 2 sin 4x
It can be written as
= 2 sin 4x cos2x + 2 sin 4x
Taking common terms
= 2 sin 4x (cos2x + 1)
Using the formula
= 2 sin 4x (2 cos2 x –1 + 1)
We get
= 2 sin 4x (2 cos2 x)
= 4cos2 x sin4x
= R.H.S.